Exercise algebra.manipulation.exponential.equation

Description
solve exponential equation algebraically

Derivation

2^x == 4^2*sqrt 2

⇒ algebra.manipulation.exponents.factor-as-power

2^x == (2^2)^2*sqrt 2

⇒ algebra.manipulation.exponents.write-as-power

2^x == (2^2)^2*2^(1/2)

⇒ algebra.manipulation.exponents.mul-exponents

2^x == 2^4*2^(1/2)

⇒ algebra.manipulation.exponents.add-exponents

2^x == 2^(9/2)

⇒ algebra.manipulation.exponents.equation.same-base

x == 9/2